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Finding the Third Proportional to 19,819.69 and 43,774.17

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Solution

The third proportional to 19,819.69 and 43,774.17 is: 96,680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,819.69 : 43,774.17 = 43,774.17 : x
  2. Step 2: Convert to fraction form
    19,819.69/43,774.17 = 43,774.17/x
  3. Step 3: Cross multiply
    19,819.69x = 43,774.17 × 43,774.17
  4. Step 4: Simplify right side
    19,819.69x = 1,916,178,123.34
  5. Step 5: Solve for x
    x = 1,916,178,123.34/19,819.69
  6. Step 6: Final answer
    x = 96,680.54

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.